Gabriel R M Clarke1, Martin R Lees2, Clemens Ritter3, Ivan da Silva4, Mark S Senn1. 1. Department of Chemistry, University of Warwick, Coventry CV4 7AL, U.K. 2. Department of Physics, University of Warwick, Coventry CV4 7AL, U.K. 3. Institut Laue-Langevin, 38042 Grenoble Cedex 9, France. 4. ISIS Neutron and Muon Facility, Rutherford Appleton Laboratory, Didcot OX11 0QX, U.K.
Abstract
We present the synthesis of a novel binary metal oxide material: Ba7Mn4O15. The crystal structure has been investigated by high-resolution powder synchrotron X-ray diffraction in the temperature range of 100-300 K as well as by powder neutron diffraction at 10 and 80 K. This material represents an isostructural barium-substituted analogue of the layered material Sr7Mn4O15 that forms its own structural class. However, we find that Ba7Mn4O15 adopts a distinct magnetic ordering, resulting in a magnetoelectric ground state below 50 K. The likely magnetoelectric coupling mechanisms have been inferred from performing a careful symmetry-adapted refinement against the powder neutron diffraction experiments, as well as by making a comparison with the nonmagnetoelectric ground state of Sr7Mn4O15.
We present the synthesis of a novel binary metal oxide material: Ba7Mn4O15. The crystal structure has been investigated by high-resolution powder synchrotron X-ray diffraction in the temperature range of 100-300 K as well as by powder neutron diffraction at 10 and 80 K. This material represents an isostructural barium-substituted analogue of the layered material Sr7Mn4O15 that forms its own structural class. However, we find that Ba7Mn4O15 adopts a distinct magnetic ordering, resulting in a magnetoelectric ground state below 50 K. The likely magnetoelectric coupling mechanisms have been inferred from performing a careful symmetry-adapted refinement against the powder neutron diffraction experiments, as well as by making a comparison with the nonmagnetoelectric ground state of Sr7Mn4O15.
Solid-state
phases containing Mn–O systems are of great
interest due to the variety of functional properties they may exhibit,
such as colossal magnetoresistance, ferromagnetism (FM), and ferroelectricity
(FE).[1] Multiferroic materials combine the
latter two properties in a single material and have gained popularity
recently for both their fundamental chemical novelty and their potential
applications in devices.[2] If the onset
of magnetic and ferroelectric orderings have different mechanisms,
the phase is known as a type I multiferroic. These phases typically
have different FM and FE ordering temperatures, and the coupling between
the two properties is weak. In a type II multiferroic, the magnetic
ordering is induced by the ferroelectric ordering or vice versa, leading
to a single ordering temperature and strong coupling between the ferroic
states. One of the best-known examples of a Mn–O-containing
multiferroic is YMn2O5, an orthorhombic Pbam structure comprising edge-shared chains of MnIVO6 octahedra along the c axis that are linked
by MnIIIO5 pyramids.[3] The mechanism of the multiferroicity in this phase has been identified
as exchange striction, in which the onset of magnetic ordering causes
a polar structural distortion.[4,5] All of the resulting
components of the electrical polarization lie along the b axis.[6] Another example of a Mn-containing
multiferroic is TbMnO3, in which the FE polarization is
moderated by the Dzyaloshinkii–Moriya (DI) interaction and
is thus quite weak.[7−9] The arrangement of the Mn–O polyhedra in these
phases has significant effects on the magnetoelectric coupling, and
other multiferroics may be discovered by exploring phases containing
unusual Mn–O linkages. A variety of type II multiferroic Mn–O-containing
phases may already be found in the literature with ferroelectricity,
which is induced by improper mechanisms, magnetic ordering, charge
ordering, or orbital ordering.[10−15]The Sr7Mn4O15 phase was first
described by Kriegel et al.; it crystallizes in the P21/c space group and contains face-sharing
Mn2O9 octahedral dimers, which share corners
to form strings in the ac plane; these strings stack
along a to give a quasi-two-dimensional structure.[16,17] The face-sharing dimer motif is uncommon compared to solely corner-sharing
systems, appearing in 4H-SrMnO3 and as infinite chains
in 2H-BaMnO3, and in perovskites has been shown to appear
as a particular result of relative ionic sizes.[18] In Sr7Mn4O15, these dimer
units result in strong antiferromagnetic (AFM) interactions between
the neighboring Mn4+ sites, a broad peak in the DC magnetic
susceptibility and divergence between the field-cooled cooling (FC)
and zero-field-cooled (ZFC) warming curves.[19,20] In addition to the broad maximum, we have previously observed divergences
between the FC and ZFC susceptibility results for the series Sr7Mn4O15 to Sr3.5Ca3.5Mn4O15 below 175 K, leading us to suggest that
the behavior could be explained by weak ferromagnetism (wFM) in which
the AFM spins are slightly canted. We propose that the space group
in which this is allowed, P21, would also
allow local displacements of the oxide anions to produce FE ordering,
resulting in a magnetoelectric ground state for the phase.[21] In general, the low symmetry of this structural
type means that a large number of ways exist in which the magnetic
exchange interactions may break inversion symmetry and hence allow
for the magnetoelectric effect. Motived by this fact and previous
reports of limited isovalent substitutions on the Sr site, we have
prepared the Ba analogue Ba7Mn4O15, which represents a novel binary oxide of Ba and Mn. Our detailed
characterization of the magnetic ground state suggests that it may
possess magnetoelectric coupling.
Experimental
Details
To synthesize Ba7Mn4O15, BaCO3 (99.95%, Alfa Aesar) and MnO2 (99.996%,
Alfa Aesar)
were ground together in a 7.7:4 ratio (i.e., a 10% molar excess of
BaCO3 compared to a stoichiometric reaction) and pressed
into a pellet (diameter: 13 mm) under 7.5 metric tonnes of force.
The pellet was heated to 900 °C for 48 h, then reground, pressed,
and heated to 900 °C again. The grinding, pressing, and heating
process was performed five times, and heating was always performed
under an atmosphere of flowing N2.To synthesize
Sr7Mn4O15, SrCO3 (99.9%,
Sigma-Aldrich) and MnO2 (99.996%, Alfa
Aesar) were ground together in a 7:4 ratio and pressed into a pellet
(diameter: 13 mm) under 7.5 metric tonnes of force. The pellet was
heated to 900 °C for 20 h, then reground, pressed, and heated
to 1000 °C for 24 h. The grinding, pressing, and heating process
was performed six times under air.High-resolution powder synchrotron
X-ray diffraction experiments
were performed at Beamline I11 at Diamond Light Source, with diffraction
patterns recorded at 300 and 100 K using the multianalyzer crystal
(MAC) for both Ba7Mn4O15 and Sr7Mn4O15, and variable-temperature measurements
performed between these temperatures using the Mythen detector for
Ba7Mn4O15. The beam wavelength was
0.826831 Å for the Ba7Mn4O15 diffraction experiment and 0.826341 Å for the Sr7Mn4O15, refined using NIST 640c Si standards.
Powder neutron diffraction experiments were performed using the GEM
instrument at the ISIS Neutron and Muon Source at 80 and 10 K for
Ba7Mn4O15 and using the D2B instrument
at the Institut Laue-Langevin (ILL) at 300, 100, and 1.5 K for Sr7Mn4O15.[22,23]Rietveld
refinements were performed using TOPAS Academic v6.[24] A starting model for the refinement was based
on the crystal structure of the related Sr7Mn4O15 phase with space group 21/. Combined Rietveld
refinements were performed using the 100 K dataset from the I11 MAC
detector and the 80 K dataset from the GEM experiment. These refinements
excluded detector bank 1 and bank 6 from the GEM dataset due to poor
signal-to-noise ratios. Refined lattice parameters and atomic coordinates
for Ba7Mn4O15 at 300 K are summarized
in the Supporting Information (Table S1) isotropic displacement parameters were constrained to be equal
for a given atom. Refinements of the low-temperature magnetic structure
were performed within the symmetry-adapted formalism of the ISODISTORT
suite[25] and
as implemented through the linear constraints language of TOPAS. Refined
values from these refinements are also summarized in the Supporting
Information (Table S2).Magnetization
measurements were performed using a Quantum Design
MPMS SQuID magnetometer. Magnetic susceptibility versus temperature
data were collected between 10 and 325 K in an applied field of 100
Oe under zero-field-cooled warming and field-cooled cooling conditions.
Magnetization versus field curves were collected in applied fields
of up to 50 kOe at temperatures between 2 and 300 K.
Results and Discussion
Sr7Mn4O15 has been demonstrated
to be flexible to limited substitution by both Ca2+ and
Ba2+ cations at the Sr2+ sites.[19,20] Each substituting cation preferentially occupies different Sr sites
within the unit cell, with the smaller Ca2+ occupying the
Sr1 site and the larger Ba2+ occupying the Sr3 and Sr4
sites (see Figure ). However, substitution levels greater than x =
1 for Sr7–BaMn4O15 have not previously been reported.
We found that the use of an inert atmosphere and a 10% molar excess
of BaCO3 in the synthesis of Ba7Mn4O15 was necessary for obtaining the desired phase. Any
attempt to synthesize the product in air results in oxidation of the
Mn4+ cation to Mn5+, forming a product which
was identified as the Ba3Mn2O8 phase
exclusively.[27] Additionally, performing
the reaction at a reduced temperature of 900 °C (compared to
literature at 1300 °C) produced the purest material. If an inert
atmosphere is used without excess BaCO3 in the reaction
mixture, the reaction produces a mixture of Ba7Mn4O15 and a secondary phase which was identified as Ba4Mn3O10.[28] Since Ba7Mn4O15 possesses a greater
Ba:Mn ratio than Ba4Mn3O10, we found
that a 10% excess of BaCO3 produces a near phase-pure product,
with just a small quantity of unreacted poorly crystalline BaCO3 in the diffraction pattern. The inert atmosphere, requisite
excess of BaCO3 and exceptionally low synthesis temperature
required to stabilize this phase are no doubt contributing factors
as to why Ba7Mn4O15 has hitherto
remained unidentified.
Figure 1
Unit cell of Ba7Mn4O15 with sites
labeled. Purple polyhedra represent Mn2O9 octahedral
dimers, green spheres indicate Ba atoms, and red spheres represent
O atoms.
Unit cell of Ba7Mn4O15 with sites
labeled. Purple polyhedra represent Mn2O9 octahedral
dimers, green spheres indicate Ba atoms, and red spheres represent
O atoms.Figure shows the
result of a Rietveld refinement against the high-resolution powder
synchrotron X-ray diffraction data collected at 300 K of Ba7Mn4O15; the unreacted BaCO3 appears
as a broad peak around 2θ = 13° with a calculated concentration
of ∼12% by weight. This value may be overestimated due to the
low crystallinity of the residual reagent. The unit cell of Ba7Mn4O15 is similar to that reported for
Sr7Mn4O15, containing the same Mn2O9 dimer units, but with larger lattice parameters
resulting from the greater ionic radius of Ba2+ compared
to Sr2+. At 300 K, we do not find evidence for the disordering
of the Sr(3) and O(6) sites from their high-symmetry positions as
described by Vente et al. for Sr7Mn4O15.[20]
Figure 2
Rietveld refinement against powder synchrotron
X-ray diffraction
(λ = 0.826831 Å) data at 300 K. Blue tick marks indicate
reflections for Ba7Mn4O15; green
tick marks indicate reflections for BaCO3.
Rietveld refinement against powder synchrotron
X-ray diffraction
(λ = 0.826831 Å) data at 300 K. Blue tick marks indicate
reflections for Ba7Mn4O15; green
tick marks indicate reflections for BaCO3.The variations in lattice parameters and the angle β
with
temperature between 300 and 100 K are shown in Figure . All parameters vary monotonically with
temperature, indicating the absence of any structural phase transitions
in this temperature range.
Figure 3
Lattice parameters of Ba7Mn4O15 as a function of temperature.
Lattice parameters of Ba7Mn4O15 as a function of temperature.In the case of Sr7Mn4O15, the
strings of Mn2O9 dimers were predicted to result
in strong magnetic exchange interactions in the bc plane,
but weak interactions along a.[20] Previous reports of magnetic susceptibility experiments on Sr7Mn4O15 describe a broad maximum centered
around 75–90 K[20,21] with a small upward tail below
around 20 K. The FC and ZFC curves diverge from one another at temperatures
below this maximum. This behavior has been explained with two different
mechanisms: Vente et al. proposed that it resulted from spin glass-like
behavior producing clusters of antiferromagnetically ordered spins,
which crystallize into true antiferromagnetic order below ∼75
K, whereas we have previously suggested that it might represent a
weak FM ordering component, arising from the local symmetry-breaking
associated with the aforementioned disorder of the Sr and O sites.[20,21]We find that the DC susceptibility versus temperature results
for
Sr7Mn4O15 match well with previous
descriptions, with the maximum of the broad feature centered around
∼84 K and the deviation between the ZFC warming and FC curves
below this temperature (Figure ). In comparison, the DC magnetic susceptibility results for
Ba7Mn4O15 are relatively featureless.
We observe a steady upward trend with decreasing temperature between
300 and 50 K. However, on further cooling a clear divergence between
the FC and ZFC warming curves is visible, evidencing a possible long-range
magnetic ordering transition. The susceptibility obeys the Curie–Weiss
law in the 200–300 K range. A fit to this part of the inverse
susceptibility in the ZFC warming data yields a μeff = 3.78(7) μB per Mn4+ site for Ba7Mn4O15 that compares favorably against
the expected spin-only value of 3.87 μB.
Figure 4
DC susceptibility
versus temperature for Sr7Mn4O15 and
Ba7Mn4O15. Inset:
Curie–Weiss fit between 200 and 300 K for Ba7Mn4O15.
DC susceptibility
versus temperature for Sr7Mn4O15 and
Ba7Mn4O15. Inset:
Curie–Weiss fit between 200 and 300 K for Ba7Mn4O15.To further investigate
the magnetic behavior of Ba7Mn4O15, we performed powder neutron diffraction at
10 and 80 K (i.e., either side of the divergence) using the time-of-flight
powder diffractometer GEM, ISIS. Figure shows the result of a combined Rietveld
refinement using the powder synchrotron X-ray diffraction data at
100 K and the powder neutron diffraction data at GEM at 80 K (the
same temperature points not having been measured). A fit to data from
the same bank at 10 K is also included in the Supporting Information
(Figure S1). This refinement of the neutron
diffraction data at 80 K is well above the suspected magnetic ordering
temperature and shows no significant unfit intensity by our nuclear
model. Figure shows
an enhanced view of the d = 3.1–3.4 Å
and d = 4.2–4.9 Å regions of neutron
diffraction data from the same bank at 10 K; magnetic Bragg reflections
are evident that index as (0 1 2), (1 0 −2), (1 2 −2),
and (2 1 −1).
Figure 5
Results of combined Rietveld refinement against GEM and
I11 diffraction
data at 80 and 100 K, respectively, for Ba7Mn4O15. Visualized is the fit against the data on bank 3
of GEM, though data from all banks was used to generate the model.
Blue tick marks indicate reflections for Ba7Mn4O15; green tick marks indicate reflections for BaCO3.
Figure 6
Comparison of the powder neutron diffraction
data for Ba7Mn4O15 from GEM bank
3 at 80 and 10 K, showing
the development of magnetic Bragg peaks.
Results of combined Rietveld refinement against GEM and
I11 diffraction
data at 80 and 100 K, respectively, for Ba7Mn4O15. Visualized is the fit against the data on bank 3
of GEM, though data from all banks was used to generate the model.
Blue tick marks indicate reflections for Ba7Mn4O15; green tick marks indicate reflections for BaCO3.Comparison of the powder neutron diffraction
data for Ba7Mn4O15 from GEM bank
3 at 80 and 10 K, showing
the development of magnetic Bragg peaks.To fit these magnetic peaks and solve the magnetic structure, the
nuclear structure refined using the combined 80 and 100 K data above
was used to produce a .cif file, which was used as a starting model
in ISODISTORT for the 10 K neutron data. The nuclear structure was
fixed and the only parameters refined in the 10 K models were the
components of the magnetic modes. There are two symmetry-inequivalent
Mn4+ sites in the asymmetric unit, which share a face in
a Mn2O9 dimer. In our refinements, we have constrained
the moments of these sites to be antiparallel. This is justified by
the strong AFM direct exchange interactions expected for the half-full
t2g orbitals. We tested relaxing this constraint in our
final model, but this led to neither a significant improvement in
the fitting statistics nor a substantial deviation from the imposed
antiparallel configuration. We tested models considering only a single
magnetic propagation vector k = [0 0 0], as the magnetic
intensities can all be indexed on the nuclear cell. At this k-point there are 4 irreducible representations (irreps),
transforming as mΓ1+, mΓ2+, mΓ1–, and mΓ2–, according to the notation used with
ISODISTORT. Illustrations of the spin configurations of each of these
modes can be found in the Supporting Information (Figure S2); mΓ1+ has FM components along [010]
and AFM components along [100] and [001], mΓ2+ has FM components
along [100] and [001] and AFM components along [010], and both mΓ1– and mΓ2– have only AFM components
along [100], [010], and [001]. The calculated components of the magnetic
moments along each direction for each of these modes are included
in the Supporting Information in the form
of “complete modes details” pages found using ISODISTORT.The results of the models constructed by considering spin orderings
that transform as one of these irreps are summarized in Figure . The single-irrep models fail
to account for all of the magnetic peaks, fitting either the (0 1
2) and (1 0 −2) reflections or the (1 2 −2) and (2 1
−1) reflections, but not both. We therefore performed refinements
in which a binary combination of modes was constrained to be active
in either the ac plane or along b, following
the symmetry requirements of the unit cell. The three basis vectors
spanning each irrep that describe the possible spin orderings correspond
with moments aligned along the symmetry-unique direction b or in the ac plane. We tested all possible combinations
exhaustively and report our findings in Table . We note that constraining the moments to
lie only along c made no difference to the fits, despite
the moment being unconstrained within the ac plane by
symmetry. The binary combinations of irreps produce both solutions
where only the direction of the moment is modulated (that we will
refer to as a spin-wave solution) and solutions where only the magnitude
of the moment is modulated (spin density wave), which are highlighted
in blue and red boxes, respectively, in Table . For a fixed Mn4+ valence state,
a spin wave is more physical, so we restrict our discussion to these
in what follows. However, the assertions about the magnetoelectric
ground state that we present below hold true irrespective of this
fact.
Figure 7
Fits to 10 K powder neutron diffraction data from GEM bank 3 at
for Ba7Mn4O15 using single-mode models
and dual-mode models, showing the failure of individual modes to capture
all magnetic Bragg peak intensity. The underfit intensity in the peak
at 4.5 Å is due to the BaCO3 impurity, marked with
a star symbol.
Table 1
Rwp’s
of Refinements of Ba7Mn4O15 Data
from GEM Data at 10 K in Which Binary Combinations of Magnetic Modes
Were Allowed to Refinea
The boxed region
indicates a combination
of modes which allow a magnetoelectric (polar) ground state, blue
cells indicate spin-wave solutions, and red cells indicate spin density
wave solutions.
Fits to 10 K powder neutron diffraction data from GEM bank 3 at
for Ba7Mn4O15 using single-mode models
and dual-mode models, showing the failure of individual modes to capture
all magnetic Bragg peak intensity. The underfit intensity in the peak
at 4.5 Å is due to the BaCO3 impurity, marked with
a star symbol.The boxed region
indicates a combination
of modes which allow a magnetoelectric (polar) ground state, blue
cells indicate spin-wave solutions, and red cells indicate spin density
wave solutions.The combinations
of magnetic modes which resulted in the best fit
to the data are as follows: mΓ1+ with mΓ1–, both along the c direction, mΓ1+ along c with mΓ2– along b, and mΓ2+ along b with mΓ1– along c. These fits
are highlighted in bold in Table . Refinements in which the irreps were also allowed
to refine in a were also investigated; we find that constraining
the irreps along the c and b directions
does not negatively impact the quality of the fit to the data, in
line with literature predictions of the magnetic structure of Sr7Mn4O15.[20,21] While the
components of the magnetic moments were not constrained to be equal
along the b and c lattice directions, they
consistently refined to approximately equal values as shown in Figure .
Figure 8
Possible spin configurations
for Ba7Mn4O15, where the magnetic
moments are constrained to be in the bc plane. The total
magnetic moment for the Pc model is 2.46 μB (1.6 μB along b, 1.9 μB along c), and the
total magnetic moment for the Pc′ model is
2.34 μB (1.5 μB along b, 1.8 μB along c). The two symmetry-unique
Mn sites in P21/c are
indicated by blue and red arrows; their coupling is constrained to
be AFM as this was found to fit the experimental data best and expected
by the strong magnetic direct exchange interactions.
Possible spin configurations
for Ba7Mn4O15, where the magnetic
moments are constrained to be in the bc plane. The total
magnetic moment for the Pc model is 2.46 μB (1.6 μB along b, 1.9 μB along c), and the
total magnetic moment for the Pc′ model is
2.34 μB (1.5 μB along b, 1.8 μB along c). The two symmetry-unique
Mn sites in P21/c are
indicated by blue and red arrows; their coupling is constrained to
be AFM as this was found to fit the experimental data best and expected
by the strong magnetic direct exchange interactions.Despite demonstrating fitting statistics that equal the best
models,
we discard the first of the combinations (mΓ1+ with mΓ1–, both parallel to c) as it results in a spin density
wave with unphysical descriptions of the magnitudes of the moments:
namely, the calculated magnitude of the moments on half of the Mn
sites are equal to 3.5 μB, while the other half of
the sites have magnitudes of 0.1 μB. The remaining
combinations of modes result in AFM spin-wave structures with magnetic
space groups Pc and Pc′.
The fits to the data from these models are shown in the right-hand-side
column of Figure ,
and the spin configurations within the unit cell are shown in Figure . We note that the
presence of a small BaCO3 impurity results in slight underfitting
of the peak at 4.5 Å. These two models differ only slightly in
the arrangement of the magnetic moments, and both produce magnetic
moment magnitudes of around 2.3–2.4 μB. This
is slightly reduced from the maximum expected value of 3 μB, which we attribute to the overlap between t2g orbitals of the Mn centers within the Mn2O9 dimers causing a loss of spin density.The fact that these
two spin configurations are the best-fitting
models to our data at low temperature is of significant interest:
the joint action of the two magnetic irreps—one of which conserves
inversion symmetry (Γ+) and one of which violates
inversion symmetry (Γ–)—results in
a structural space group in which inversion symmetry is globally broken.[29] Indeed, comparing this type of combination (highlighted
in Table with a dark
box) with combinations where both modes either conserve or do not
conserve inversion symmetry, we find that the combinations resulting
in a noncentrosymmetric space group fit the data best in all cases.
While we are not able to detect an off-centering of any of the high-symmetry
positions in Ba7Mn4O15 in our powder
diffraction data, the crystallographic analysis indicates that this
phase possesses a ground state in which the noncentrosymmetric space
group (Pc) is a direct result of the magnetic ordering,
implying that it may be magnetoelectric and/or multiferroic. A table
of the space groups which result from the combination of multiple
magnetic modes is shown in the Supporting Information (Table S3).Figure shows magnetization
measurements for Ba7Mn4O15 as a function
of the applied field. A small but clear hysteresis is evident at temperatures
less than 25 K, with a maximum moment of 0.083 μB per Mn4+ at 2 K and 50 kOe. As this is significantly
lower than the effective moment in the paramagnetic region, the ordering
is likely to be largely AFM in character, with a small FM component.
This can be attributed to a slight canting of the magnetic moments
along b transforming as the FM irrep mΓ1+,
suggesting that there is a small incomplete cancellation of the magnetic
moments within the Mn2O9 dimers along this lattice
direction. These magnetization results further support the proposed
two-irrep magnetic structure and hence also the proposed polar ground
state.
Figure 9
Magnetization versus field results for Ba7Mn4O15.
Magnetization versus field results for Ba7Mn4O15.Figure shows
one of the sets of allowed polar displacements of the O6 anion. This
site and the Ba3 site are the only high-symmetry positions in the 21/ unit cell, and thus we chose one of these to demonstrate
a possible multiferroic coupling mechanisms since displacements of
these atoms from their average positions will always induce a permanent
polarization. The polar displacement transforms as the Γ2– irrep,
which is responsible for the displacive distortions that lead to a
symmetry reduction from 21/ to Pc (basis
= {(1,0,0),(0,1,0),(0,0,1)}, origin shift = (0,1/4,0) with respect
to the parent cell). Notably, polar distortions transforming as this
irrep appear irrespective of which magnetic space group (Pc or Pc′) is assigned, thus our result is
invariant to the ambiguity of the precise magnetic structure with
respect to these two space groups. Since the noncentrosymmetric ground
state would be induced by the magnetic ordering, Ba7Mn4O15 would be classed as a Type II multiferroic.
It is important to emphasize that the displacements indicated in Figure are only one of
the possible distortion pathways by which magnetoelectric coupling
could be realized. Since our proposed distortions are driven by magnetic
ordering, the displacement is expected to be on the order of thousandths
of an angstrom. Our experiment is not sensitive to displacements of
this magnitude in such a complex structure, and so Figure merely shows the symmetry-allowed
character of one such possible displacement, and we can infer nothing
more about their magnitude or the relative magnitude of other symmetry-allowed
atomic displacements. Additionally, it should be noted that the proposed
magnetoelectric ground state arises not only as a result of the canting
of the magnetic spins, but is due to the combined action of the two
magnetic irreps. While a single magnetic irrep solution can lead to
canting in this system, it will never result in a multiferroic ground
state.
Figure 10
Symmetry-allowed polar displacements (transforming as Γ2–) of the
O6 anion in Ba7Mn4O15 (green polar
vectors) in the lower-symmetry Pc space group (basis
= {(1,0,0),(0,1,0),(0,0,1)}, origin shift = (0,1/4,0) with respect
to the P21/c parent cell).
Symmetry-allowed polar displacements (transforming as Γ2–) of the
O6 anion in Ba7Mn4O15 (green polar
vectors) in the lower-symmetry Pc space group (basis
= {(1,0,0),(0,1,0),(0,0,1)}, origin shift = (0,1/4,0) with respect
to the P21/c parent cell).Finally, we compare the neutron diffraction results
for Ba7Mn4O15 with those of Sr7Mn4O15, for which no direct evidence
of a magnetoelectric
ground state has previously been reported. A powder neutron diffraction
pattern for Sr7Mn4O15 is shown in Figure , with the magnetic
peaks observed at 1.5 K inset. The most plausible fit to the magnetic
peaks is achieved using a model containing only the mΓ2– irrep along the b direction to describe the magnetic
moments, consistent with previously published models.[20,21] The spin configuration refined against the data and transforming
as the mΓ2– irrep is shown in Figure . This produces a calculated
magnetic moment of 2.2 μB consistent with the magnitude
observed for Ba7Mn4O15, giving us
further confidence in our proposed spin-wave solutions. The two-irrep
fits necessary to model Ba7Mn4O15 provide no improvement in the quality of the fit to the magnetic
data for Sr7Mn4O15, thus the magnetoelectric
ground state we report here is specific to Ba7Mn4O15. We view the Pc (mΓ1+ ⊕ mΓ2–) structure of Ba7Mn4O15 to be the most likely candidate from our refinements, as the mΓ2– mode best describes the magnetic ordering in Sr7Mn4O15, and it is to be expected that
the exchange pathways have a high degree of similarity in these two
materials.
Figure 11
Rietveld refinement against powder neutron diffraction
data collected
at D2B for Sr7Mn4O15 at 300 K. Blue
ticks indicate reflections for the Sr7Mn4O15 phase; green ticks indicate reflections for a small SrMnO3 impurity. Inset: magnetic reflections observed at 1.5 K (black
crosses) and the same region of 2θ at 300 K (green crosses).
The magnetic intensity is well modeled by considering only the mΓ2– irrep.
Figure 12
Refined mΓ2– spin configuration for Sr7Mn4O15 (space group P2′1/c), where the magnetic moments are constrained
to be in the b direction. The magnetic moment is 2.2
μB. The two symmetry-unique Mn sites in P21/c are indicated by blue and red arrows;
their coupling is constrained to be AFM as this was found to fit the
experimental data best and expected by the strong magnetic direct
exchange interactions.
Rietveld refinement against powder neutron diffraction
data collected
at D2B for Sr7Mn4O15 at 300 K. Blue
ticks indicate reflections for the Sr7Mn4O15 phase; green ticks indicate reflections for a small SrMnO3 impurity. Inset: magnetic reflections observed at 1.5 K (black
crosses) and the same region of 2θ at 300 K (green crosses).
The magnetic intensity is well modeled by considering only the mΓ2– irrep.Refined mΓ2– spin configuration for Sr7Mn4O15 (space group P2′1/c), where the magnetic moments are constrained
to be in the b direction. The magnetic moment is 2.2
μB. The two symmetry-unique Mn sites in P21/c are indicated by blue and red arrows;
their coupling is constrained to be AFM as this was found to fit the
experimental data best and expected by the strong magnetic direct
exchange interactions.It is difficult to assign
the difference in magnetic behaviors
between Ba7Mn4O15 and Sr7Mn4O15 to specific structural features due
to the low symmetry of the phases. A selection of the nearest-neighbor
distances and angles are summarized in Table S3: while the unit cell obviously expands to accommodate the larger
Ba2+ cations, this expansion does not result in exceptional
changes to any of the bond lengths or angles between Mn4+ centers. We envisage that substantial future works involving investigating
the magnetoelectric ground state of this material, via first-principles
calculations, will shed further light on this issue.
Conclusions
We have successfully synthesized the novel ternary compound Ba7Mn4O15. Powder synchrotron X-ray diffraction
analysis indicates that this phase remains in the 21/ space group in the 100–300 K temperature range. Powder neutron
diffraction and SQuID magnetometry indicate that the phase possesses
an AFM ground state below 50 K. Careful analysis of this AFM ground
state reveals a small FM component and suggests that a pair of magnetic
modes, transforming as distinct irreducible representations, act simultaneously,
and in doing so couple to a polar distortion. This is the first experimental
evidence that this class of materials can support a multiferroic grounds
state, and we hope it will stimulate renewed synthetic effort into
preparing structural related materials. Further work on Ba7Mn4O15 should focus on direct characterization
of the nature of the polar displacement, confirming and demonstrating
the switchability of the polar state and performing synthetic work
with the aim of enhancing the magnetoelectric ordering temperature.
Authors: Mark S Senn; Claire A Murray; Xuan Luo; Lihai Wang; Fei-Ting Huang; Sang-Wook Cheong; Alessandro Bombardi; Chris Ablitt; Arash A Mostofi; Nicholas C Bristowe Journal: J Am Chem Soc Date: 2016-03-07 Impact factor: 15.419